Jordan structures and non-associative geometry
Wolfgang Bertram (IECN)
TL;DR
This survey explores geometries linked to Jordan structures, comparing their construction methods with Lie theory and non-commutative geometry, highlighting their mathematical relationships and applications.
Contribution
It provides a comprehensive overview of geometric constructions from Jordan structures and their analogs in Lie theory and non-commutative geometry.
Findings
Connections between Jordan structures and geometric models
Analogies with Lie functor constructions
Relations to non-commutative geometric approaches
Abstract
In this survey paper we give an overview over constructions of geometries associated to Jordan structures (algebras, triple systems and pairs), featuring analogs of these constructions with the Lie functor on the one hand and with the approach of non-commutative geometry on the other hand.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research